Hi
If you've a problem with the Dyer side of the family - why not follow Danishdots information on the Higgs living nearby in Portlaoise (Maryborough) to see if you can establish a connection.
If the records for that area survive, they may show Maria/Mary's birth and if so, quite likely her marriage as it was common for marriages to be held in the bride's parish. A search of births and marriages should begin ten years eitherside of when you feel Maria/Mary was born and married.
Furthermore, if you find her marriage, it may be that this couple lived in the locality, so it would be worth checking to see if any Dyer children were later baptised in the parish.